The teleparallel equivalent of Newton-Cartan gravity
We construct a notion of teleparallelization for Newton–Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general relativity, and can be obtained by null-reducing the teleparal...
| Main Authors: | , |
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| Format: | Journal article |
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IOP Publishing
2018
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| _version_ | 1797063037092364288 |
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| author | Read, J Teh, N |
| author_facet | Read, J Teh, N |
| author_sort | Read, J |
| collection | OXFORD |
| description | We construct a notion of teleparallelization for Newton–Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general relativity, and can be obtained by null-reducing the teleparallel equivalent of a five-dimensional gravitational wave solution. This work thus strengthens substantially the connections between four theories: Newton–Cartan theory, Newtonian gravitation theory, general relativity, and teleparallel gravity. |
| first_indexed | 2024-03-06T20:54:07Z |
| format | Journal article |
| id | oxford-uuid:38983d84-80a9-4800-b7b1-760d84eb2096 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:54:07Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:38983d84-80a9-4800-b7b1-760d84eb20962022-03-26T13:51:03ZThe teleparallel equivalent of Newton-Cartan gravityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:38983d84-80a9-4800-b7b1-760d84eb2096Symplectic Elements at OxfordIOP Publishing2018Read, JTeh, NWe construct a notion of teleparallelization for Newton–Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general relativity, and can be obtained by null-reducing the teleparallel equivalent of a five-dimensional gravitational wave solution. This work thus strengthens substantially the connections between four theories: Newton–Cartan theory, Newtonian gravitation theory, general relativity, and teleparallel gravity. |
| spellingShingle | Read, J Teh, N The teleparallel equivalent of Newton-Cartan gravity |
| title | The teleparallel equivalent of Newton-Cartan gravity |
| title_full | The teleparallel equivalent of Newton-Cartan gravity |
| title_fullStr | The teleparallel equivalent of Newton-Cartan gravity |
| title_full_unstemmed | The teleparallel equivalent of Newton-Cartan gravity |
| title_short | The teleparallel equivalent of Newton-Cartan gravity |
| title_sort | teleparallel equivalent of newton cartan gravity |
| work_keys_str_mv | AT readj theteleparallelequivalentofnewtoncartangravity AT tehn theteleparallelequivalentofnewtoncartangravity AT readj teleparallelequivalentofnewtoncartangravity AT tehn teleparallelequivalentofnewtoncartangravity |